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Paraxial wave function and Gouy phase for a relativistic electron in a uniform magnetic field
Published 8 Mar 2020 in quant-ph and hep-th | (2003.04717v1)
Abstract: A connection between relativistic quantum mechanics in the Foldy-Wouthuysen representation and the paraxial equations is established for a Dirac particle in external fields. The paraxial form of the Landau eigenfunction for a relativistic electron in a uniform magnetic field is determined. The obtained wave function contains the Gouy phase and significantly approaches to the paraxial wave function for a free electron.
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